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Finding the Fourth Proportional to 1,015.96, 1,522.77 and 583.42

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Solution

The fourth proportional to 1,015.96, 1,522.77 and 583.42 is: 874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.96 : 1,522.77 = 583.42 : x
  2. Step 2: Convert to fraction form
    1,015.96/1,522.77 = 583.42/x
  3. Step 3: Cross multiply
    1,015.96x = 1,522.77 × 583.42
  4. Step 4: Simplify right side
    1,015.96x = 888,414.47
  5. Step 5: Solve for x
    x = 888,414.47/1,015.96
  6. Step 6: Final answer
    x = 874.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.